Respuesta :

Answer:

The smallest possible value of n is 259

Step-by-step explanation:

When n = 259

100n = 100×259 = 25900

25900 ÷ 1036 = 25

Therefore, 1036 is a factor of 100n when n is 259

Answer: Therefore, the lowest value of n is 259.

n = 7×37 = 259

n = 259

Step-by-step explanation:

To get the value of n. We need to break them down to their lowest factors.

Note: they must have common factors, that is all the factors of 1036 must be found in 100n.

For;

100n = 2×2×5×5×n

1036 = 2×2×7×37

the factors of 1036 that cannot be found in 100 is the least value of n.

So, 7 and 37 is not a factor of 100

Therefore, the lowest value of n is;

n = 7×37 = 259